Pith Number

pith:QDX2F2LC

pith:2010:QDX2F2LCR7AGU6GDENAFPA3CPD

not attested not anchored not stored refs pending

Long-range percolation on the hierarchical lattice

Pieter Trapman, Ronald Meester, Vyacheslav Koval

arxiv:1004.1251 v1 · 2010-04-08 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDX2F2LCR7AGU6GDENAFPA3CPD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:26:53.108385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80efa2e9628fc06a78c3234057836278cfe5b7bc035de1d985c928fc5a07d800

Aliases

arxiv: 1004.1251 · arxiv_version: 1004.1251v1 · doi: 10.48550/arxiv.1004.1251 · pith_short_12: QDX2F2LCR7AG · pith_short_16: QDX2F2LCR7AGU6GD · pith_short_8: QDX2F2LC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QDX2F2LCR7AGU6GDENAFPA3CPD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 80efa2e9628fc06a78c3234057836278cfe5b7bc035de1d985c928fc5a07d800

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c27ea3265550e82672081833e70751c4b8e29768221f62de34f7238cea66647",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-08T06:28:18Z",
    "title_canon_sha256": "351938788fb801479d4f926b5223f57f74dabf18f66767c241fdc31ff89ed761"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1251",
    "kind": "arxiv",
    "version": 1
  }
}